IXL | Compare sums and differences of unit fractions

Without adding, find which sum is

greater.

neither; they are equal

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Learn with an example

question

Without subtracting, find which difference is

greater.

–

neither; they are equal

key idea

A unit fraction has a numerator of 1. A unit fraction with a smaller denominator has a larger value. A unit fraction with a larger denominator has a smaller value.

has a smaller denominator than

is greater than

solution

Each fraction has a numerator of 1, so they are all unit fractions. Look at their denominators to compare them.

Compare the first fractions.

–

The first fractions are equal.

Compare the second fractions.

–

The unit fraction with the larger denominator has a smaller value. So,

is less than

Compare the differences.

The first fractions are equal. The first difference has a smaller second fraction. So, the first difference is greater than the second.

–

Looking for more? Try these:

Lesson: Comparing fractions

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Teacher tools

Work it out

Not feeling ready yet? These can help:

K.3Compare fractions and mixed numbers

W.6Solve inequalities using addition and subtraction shortcuts

Lesson: Comparing fractions

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